Question
A pitcher ERA ( Earned Run Average ) is the average number of earned runs the pitcher allows every 9 innings pitched. The table shows the ERA and number of wins for starting pitchers in a baseball league?
Construct a scatter plot of the data.
Identify the association between the data . Explain the relationship between ERA and number of wins shown in the scatter plot.
Hint:
Scatter plot is a graphical represenation of data using a set of cooridnate points. A scatter plot has a negative association if the slope is negative. When the points are clustered around the trend line, the association is strong.
We are asked to plot the scatter graph, find the associatioon and the relationship netween the set of data.
The correct answer is: We are asked to plot the scatter graph, find the associatioon and the relationship netween the set of data.
ANSWER:
Step 1 of 4:
Let ERA represent the x-axis and the number of wins represent the y- axis.
Then, the corresponding coordinate points would be;
(1,14),(1.5,12),(2,10),(2.5,10),(3,9),(3.5,7),(4,6),(5,4)
Step 2 of 4:
Plot the points on a graph to get the scatter plot.
Step 3 of 4:
The trend line corresponding to the scatter plot is,
The points are clustered together around the trend line, showing a strong association. Moreover, the slope of the line is negative. That is, it has a negative association as well.
Thus, the graph has a strong negative association.
Step 4 of 4:
The set of data has a negative association. That means, as one variable increases, the other decrease. It is evident that as ERA increase, the numbers of wins decrease.
Step 3 of 4:
The trend line corresponding to the scatter plot is,
The points are clustered together around the trend line, showing a strong association. Moreover, the slope of the line is negative. That is, it has a negative association as well.
Thus, the graph has a strong negative association.
Step 4 of 4:
The set of data has a negative association. That means, as one variable increases, the other decrease. It is evident that as ERA increase, the numbers of wins decrease.
Slope is the measure of the steepness of a line. Clusters are formed when numerous points group together. A trend line is used to approximate the pattern of a scatter plot.
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